{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](https://upload.wikimedia.org/wikipedia/commons/thumb/3/35/I_Ching_Song_Dynasty_print.jpg/440px-I_Ching_Song_Dynasty_print.jpg)\n",
    "\n",
    "iching is a packge developed by Cheng-Jun Wang. It employs the method of Shicao prediction to reproce the prediction of I Ching--the Book of Exchanges. The I Ching ([î tɕíŋ]; Chinese: 易經; pinyin: Yìjīng), also known as the Classic of Changes or Book of Changes in English, is an ancient divination text and the oldest of the Chinese classics. \n",
    "\n",
    "![](https://upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Yarrow_stalks_for_I_Ching.JPG/440px-Yarrow_stalks_for_I_Ching.JPG)\n",
    "\n",
    "Fifty yarrow Achillea millefolium subsp. m. var. millefolium stalks, used for I Ching divination.The Zhou yi provided a guide to cleromancy that used the stalks of the yarrow plant, but it is not known how the yarrow stalks became numbers, or how specific lines were chosen from the line readings.[22] In the hexagrams, broken lines were used as shorthand for the numbers 6 (六) and 8 (八), and solid lines were shorthand for values of 7 (七) and 9 (九). The Great Commentary contains a late classic description of a process where various numerological operations are performed on a bundle of 50 stalks, leaving remainders of 6 to 9.\n",
    "\n",
    "大衍之数五十，其用四十有九。分而为二以象两，挂一以象三，揲之以四以象四时，归奇于扐以象闰。五岁再闰，故再扐而后挂。天一，地二；天三，地四；天五，地六；天七，地八；天九，地十。天数五，地数五。五位相得而各有合，天数二十有五，地数三十，凡天地之数五十有五，此所以成变化而行鬼神也。乾之策二百一十有六，坤之策百四十有四，凡三百六十，当期之日。二篇之策，万有一千五百二十，当万物之数也。是故四营而成《易》，十有八变而成卦，八卦而小成。引而伸之，触类而长之，天下之能事毕矣。显道神德行，是故可与酬酢，可与祐神矣。子曰：“知变化之道者，其知神之所为乎。”\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#Install"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### pip install iching"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#Import and Use"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from iching import iching"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your birthday & your prediction time:  1985052620150704\n"
     ]
    }
   ],
   "source": [
    "iching.ichingDate(1985052620150704)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###Predicting Six Yao"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your birthday & your prediction time:  1985052620150704\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "('111000', None)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iching.ichingDate(1985052620150704)\n",
    "iching.getPredict()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###Get the iching name"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your birthday & your prediction time:  1985052620150704\n",
      "否\n"
     ]
    }
   ],
   "source": [
    "iching.ichingDate(1985052620150704)\n",
    "fixPred, changePred   = iching.getPredict()\n",
    "print iching.ichingName(fixPred, changePred  )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your birthday & your prediction time:  1985052620150704\n",
      "否卦原文否。否之匪人。不利君子贞。大往小来。象曰：天地不交，否。君子以俭德辟难，不可荣以禄。白话文解释否卦：为小人所隔阂，这是不利于君子的占卜，事业也将由盛转衰。《象辞》说：天地隔阂不能交感，万物咽窒不能畅釜，这是否卦的卦象。君子观此卦象，从而在国家政治否塞之时，应思隐居不仕，以崇尚俭约来躲避灾难，不要以利禄为荣。\n",
      "\n",
      "《断易天机》解否卦乾上坤下，为乾宫三世卦。否象征闭塞不通，是不吉之兆。否卦中，阴阳不交，是一切都不和谐之象。\n",
      "\n",
      "北宋易学家邵雍解大往小来，闭塞不通；否极泰来，修德避难。得此卦者，万物闭塞之象，上下不合，诸事不顺，凡事宜忍，须待时运好转而有为。\n",
      "\n",
      "台湾国学大儒傅佩荣解时运：诸事不顺，不可妄动。财运：适宜买入，后可获利。家宅：勤俭免祸；仳离之象。身体：气血不通，节制饮食。\n",
      "\n",
      "传统解卦这个卦是异卦（下坤上乾）相叠，其结构同泰卦相反，系阳气上升，阴气下降，天地不交，万物不通。它们彼此为“综卦”，表明泰极而否，否极泰来，互为因果。大象：天气上升，地气下降，天地之气不交，主闭塞不通。运势：上下不和，百事不通，凡事宜忍，须知否极泰来。事业：陷入逆境，事业处于衰退阶段，多有不顺利。受小人干扰而不得志，多挫折。应坚持正道，勿与小人合流，团结志同道合者，自保以等待时机。保持自信心，戒慎恐惧，形势定会好转，事业终能成功。经商：遇到强大的竞争对手，处于不利地位，信息不灵造成重大损失。应格外小心谨慎，坚持守势，等待有利时机到来，再努力发展自己的事业。求名：条件还不成熟，再努力一阵子，并得到他人的帮助，理想可以实现。婚恋：容易出现节外生枝的事情，甚至发生挫折和变故，双方若都充满信心，好的结果会出现。决策：本人聪慧，精明，勤奋努力，但不注意人际关系，加上小人的排斥，命运或遭厄运。意志坚强，具有奋斗精神，且克服了不足，尽管付出的代价很高，必能成全事业。\n",
      "\n",
      "台湾张铭仁解卦否：表示不好、坏掉了！ 主凶象。否显现出阴阳之气不协调，在人及事方面诸多不被认同，有内外不合、众说纷纭的现象，因此事事难以进行，最好此时能彼此互相退让静下心来理性的沟通，方能转吉。婚姻、感情，已有个性、意见的冲突产生，若不能好好退让协商，恐有离异分手的结局。解释：处在困境中。特性：自尊心强，个性刚烈，不服输，反应快，学习能力强，高傲不亦亲近。财运佳，有领导才能，与上司不易相处。运势：凶且衰，君子以险德避难，不可荣以禄也。运势不通达，诸事不顺，有损失且波折多。故宜守固正道，若稍偏差，则灾害至也。家运：夫妻彼此不能协调，是非很多，劫财又带衰，慎之。疾病：占病为凶兆，病在脑、肺及肠胃等，慎防癌症。胎孕：不安。子女：与双亲感情不睦，任其自然发展吧。周转：告贷无门。买卖：多有损失，但有贵人应在午未申日。等人：不会来，因别的事情而违约。寻人：因感情不睦而出走，去向不明，难寻。东南方。失物：寻不回。外出：会遇到不少麻烦和困难，宜推迟或提前行动。考试：不理想。诉讼：各走极端，有口难言，宜及时求和。求事：先难后易，须有耐心去争取胜利，否则凶。改行：难如愿。开业：最好另择吉日。然此卦有先难之困，若能舒之则利。\n",
      "\n",
      "初六爻辞初六。拔茅茹，以其汇，贞吉，亨。象曰：拔茅贞吉，志在君也。白话文解释初六：连根拔掉茅草，及其同类，占得此爻则吉利，亨通。《象辞》说：连根拔掉茅草，占得此爻吉利，比喻其志在清理君侧，为国尽忠。\n",
      "\n",
      "北宋易学家邵雍解平：得此爻者，宜守旧，小人得势之时，爻辞虽好，但须谨防小人牵连之事。做官的受职者待缺，当权者防扰。\n",
      "\n",
      "台湾国学大儒傅佩荣解时运：合伙谋事，家有吉祥。财运：新设商业，用人谨慎。家宅：亲戚同住；可以照应。身体：传染之症，但无大碍。\n",
      "\n",
      "初六变卦初六爻动变得周易第25卦：天雷无妄。这个卦是异卦（下震上乾）相叠。乾为天为刚为健；震为雷为刚为动。动而健，刚阳盛，人心振奋，必有所得，但唯循纯正，不可妄行。无妄必有获，必可致福。\n",
      "\n",
      "六二爻辞六二。包承，小人吉；大人否，亨。 象曰：大人否，享，不乱群也。 白话文解释六二：厨中有肉，这对老百姓来说是吉利，对贵族来说并不是通泰的表现。《象辞》说：贵族身处窘境，则能心怀惩戒，使其安守本分。\n",
      "\n",
      "北宋易学家邵雍解平：得此爻者，宜忍耐，宽容待人，不然会生是非。做官的宜低调行事。\n",
      "\n",
      "台湾国学大儒傅佩荣解时运：宽容待人，万事皆吉。财运：买卖皆利，讼则上诉。家宅：老人有疾无害。身体：修身养性。\n",
      "\n",
      "六二变卦六二爻动变得周易第6卦：天水讼。这个卦是异卦（下坎上乾）相叠。同需卦相反，互为“综卦”。乾为刚健，坎为险陷。刚与险，健与险，彼此反对，定生争讼。争讼非善事，务必慎重戒惧。\n",
      "\n",
      "六三爻辞六三。包羞。象曰：包羞，位不当也。白话文解释六三：厨中有美味。《象辞》说：心怀羞愧，因为才德不称其位。\n",
      "\n",
      "北宋易学家邵雍解凶：得此爻者，须防是非争诉之扰。做官的会退休离职。\n",
      "\n",
      "台湾国学大儒傅佩荣解时运：谨慎自守，以避羞辱。财运：用人不当，暗中损耗。家宅：行为不检，家门有羞。身体：寒中带热，远求良医。\n",
      "\n",
      "六三变卦六三爻动变得周易第33卦：天山遁。这个卦是异卦（下艮上乾）相叠。乾为天，艮为山。天下有山，山高天退。阴长阳消，小人得势，君子退隐，明哲保身，伺机救天下。\n",
      "\n",
      "九四爻辞九四。有命无咎，畴离祉。象曰：有命无咎，志行也。白话文解释九四：君王有赏赐之命，没有灾害，谁能得到赏赐呢?《象辞》说：君王有赏赐之命，没有灾害，说明君王论功行赏，臣下尽职效力，各行其志。\n",
      "\n",
      "北宋易学家邵雍解吉：得此爻者，家产日增，吉庆安乐。做官的会得到朋友和同僚之助，或升迁，或进财。\n",
      "\n",
      "台湾国学大儒傅佩荣解时运：好运来到，谋事可成。财运：打定主意，转亏为盈。家宅：家运转吉。身体：体质尚强。\n",
      "\n",
      "九四变卦九四爻动变得周易第20卦：风地观。这个卦是异卦（下坤上巽）相叠，风行地上，喻德教遍施。观卦与临卦互为综卦，交相使用。在上者以道义观天下；在下者以敬仰瞻上，人心顺服归从。\n",
      "\n",
      "九五爻辞九五。休否，大人吉；其亡其亡，系于苞桑。象曰：大人之吉，位正当也。白话文解释九五：警戒覆亡，贵族王公如此存心则吉利。危险呵，危险，国家命运好像系在柔弱的苞草、桑枝上一样。《象辞》说：九五爻辞讲贵族王公安不忘危，则吉利。因为九五之爻居上卦中位，像其人忧国忧君，才德正当其位。 \n",
      "\n",
      "北宋易学家邵雍解吉：得此爻者，旧祸已去，好运将至，诸事皆吉。做官的会身居重位。\n",
      "\n",
      "台湾国学大儒傅佩荣解时运：安不忘危，诸事皆吉。财运：机会尚佳，慎选伙伴。家宅：祖业深厚。身体：小心保养。\n",
      "\n",
      "九五变卦九五爻动变得周易第35卦：火地晋。这个卦是异卦（下坤上离）相叠。离为日，为光明；坤为地。太阳高悬，普照大地，大地卑顺，万物生长，光明磊落，柔进上行，喻事业蒸蒸日上。\n",
      "\n",
      "上九爻辞上九。倾否，先否后喜。 象曰：否终则倾，何可长也。白话文解释上九：短暂的恶运，先遇恶运后交好运。《象辞》说：恶运快终了，好运岂迢遥。命运交变之际，什么力量可以制止呢？\n",
      "\n",
      "北宋易学家邵雍解平：得此爻者，将会转好运，久困者利可期，久讼者讼事解。做官的失职者复职，闲缺者会走马上任。\n",
      "\n",
      "台湾国学大儒傅佩荣解时运：亨通如意，讼事可结。财运：秋冬有利，春夏不利。家宅：迁居大吉。身体：即可病愈，须防复发。\n",
      "\n",
      "上九变卦上九爻动变得周易第45卦：泽地萃。这个卦是异卦（下坤上兑）相叠。坤为地、为顺；兑为泽、为水。泽泛滥淹没大地，人众多相互斗争，危机必四伏，务必顺天任贤，未雨绸缪，柔顺而又和悦，彼此相得益彰，安居乐业。萃，聚集、团结。\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "iching.ichingDate(1985052620150704)\n",
    "print iching.ichingText(fixPred, iching)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your birthday & your prediction time:  1985052620150704\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "iching.ichingDate(1985052620150704)\n",
    "if changePred:\n",
    "    print ching.ichingText(fixPred, iching)\n",
    "else:\n",
    "    print None"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###First Change"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25 \n",
      "23 \n",
      "5 \n",
      "44\n"
     ]
    }
   ],
   "source": [
    "data = 50 - 1\n",
    "sky, earth, firstChange, data = iching.getChange(data)\n",
    "print sky, '\\n', earth, '\\n',firstChange, '\\n', data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###Second Change"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9 \n",
      "34 \n",
      "4 \n",
      "40\n"
     ]
    }
   ],
   "source": [
    "sky, earth, secondChange, data = iching.getChange(data)\n",
    "print sky, '\\n', earth, '\\n',secondChange, '\\n', data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###Third Change"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31 \n",
      "8 \n",
      "8 \n",
      "32\n"
     ]
    }
   ],
   "source": [
    "sky, earth, thirdChange, data = iching.getChange(data)\n",
    "print sky, '\\n', earth, '\\n',thirdChange, '\\n', data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###Plot transitions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/3c69KeLmE/fzZ9e5FyPHGQJV8ANn5CQiRCnfC869KaF28+Oke7vO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\nCIIQEqTgC4IghAQp+IIgCCHh/wOUK1FrAFwJQwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1084e9210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "iching.plotTransition(100, w = 50)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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37+OUlXl3XXKo43TC+PHaCjlQlv6Y8aykU6dOZGZmMmTIEPLz8xk8eDBz5rxN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\n/wc/2KGCAzDvEwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108631190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure(figsize=(15, 10),facecolor='white')\n",
    "plt.subplot(2, 2, 1)\n",
    "iching.plotTransition(1000, w = 50)\n",
    "plt.subplot(2, 2, 2)\n",
    "iching.plotTransition(1000, w = 50)\n",
    "plt.subplot(2, 2, 3)\n",
    "iching.plotTransition(1000, w = 50)\n",
    "plt.subplot(2, 2, 4)\n",
    "iching.plotTransition(1000, w = 50)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
